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Uniform Large Deviations, Barrier Identity and the Néel--Arrhenius Law for the One-Dimensional Stochastic Landau--Lifshitz--Gilbert Equation

Brzeźniak, Zdzisław et al.
arXiv (All) · Papers
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35q6049j4560f1060h15analysis-of-pdesmathematical-physicsprobability
We study the one-dimensional stochastic Landau-Lifshitz-Gilbert equation with a regularised, multiplicative, degenerate trace-class noise of strength sqrt(eps), the regularisation being Q_delta^{1/2} = (I + delta A^{beta/2})^{-1}, A = -d^2/dx^2, beta > 3/2, and determine the exponential rate of ther
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